Constraint perturbation method for shape design and configuration selection of structures

1.提出了求解非对称载荷作用下网架结构最优拓扑的约束摄动法。设计是相对于下限横截面积来追踪的。将该方法推广到平面支撑框架的优化设计中。2.提出了一种大跨度桁架结构地震反应约束设计序列的生成方法。桁架受到一组多分量地震运动的影响。以结构的几何参数为设计变量，设计出满足最大反应应变和加速度约束的结构。3.提出了一种新的理论，用于产生一系列带有阻尼器的建筑框架，使得在强震作用下的最大层间位移几乎呈均匀分布。提出了一种简单的无摩擦节点索网形状设计方法。以所有节点均位于同一平面内的设计方案作为初始设计方案，并将初始设计方案序列关于边界形状参数进行扩展。5.建立了一种强震作用下基础隔震剪切型建筑模型的逆摄动方法。生成一系列设计，使最大层间位移和顶层加速度等于指定值。6.建立了桩-土体系支撑剪切型建筑模型的设计方法。相对于地面刚度参数生成刚度设计序列。该方法以刚性地基设计为初始设计，适用于建筑物的基本自振周期与地基的基本自振周期间隔较近，且地基刚度具有估算变异性的情况。

1.A constraint perturbation method has been developed for finding optimal topology of a space truss subjected to asymmetric loads. The designs are traced with respect to the lower-bound cross-sectional areas. The method has been extended to find an optimal structural form of a braced plane frame.2.A method of generating sequences of seismic response constrained designs has been presented for trusses assembled to make large-span frames. The truss is subjected to a set of multi-component earthquake motions. Geometrical parameters are considered as design variables to find designs which satisfy the constraints on maximum response strains and accelerations.3.A new theory has been developed for generating a sequence of building frames with dampers such that the maximum interstory drifts under strong earthquakes exhibit almost uniform distribution. The designs are expanded with respect to a parameter representing the damping ratios of the viscous dampers.4.A straightforward method has been presented for shape design of cable networks with friction-free joints subjected to pretensioning forces. A design such that all the nodes exist in a plane is chosen as trivial initial design and a sequence of designs are expanded with respect to a boundary shape parameter.5.An inverse perturbation method has been developed for a base-isolated shear building model subjected to strong earthquakes. A sequence of designs is generated so that the maximum interstory drifts and top-floor acceleration are equal to the specified values.6.A design method has been developed for a shear building model supported by a pile-soil system. A sequence of stiffness designs are generated with respect to a ground stiffness parameter. This method utilizes a design for a stiff ground as an initial design and is applicable to the case where the fundamental natural period of the building and the ground are closely spaced and where the gound stiffness have estimation variability.